Digital Disruption with Geoff Nielson podcast

AI's Biggest Problem May Be Mathematically Impossible to Solve | Stephen Wolfram

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What if we can never fully predict or understand AI and need to rethink how we use it?


Stephen Wolfram, creator of Mathematica and Wolfram|Alpha, explains why artificial intelligence remains fundamentally unpredictable and how we can make it useful despite those limits.


Stephen joins us to discuss large language models, AI-generated code, and the difference between generating convincing answers and performing precise computation. He explains how combining generative AI with computational tools can help bridge that gap and why understanding what you’re building matters more as automation advances.


The conversation also explores how AI could transform cybersecurity, powering both attacks and defenses. Stephen considers how these increasingly complex interactions could outpace human understanding and what that means for oversight and AI transparency. He explains why safeguards need to operate outside the AI itself to limit the consequences of unpredictable behavior.


Follow for more conversations about AI, technology, innovation, and digital transformation.


In this episode:

00:00 AI beyond human understanding

01:29 AI hype vs. long-term potential

05:35 ChatGPT and natural language interfaces

06:47 Combining generative AI with Wolfram Language

08:41 CIO Analytics: API-Driven Advisory

10:00 Understanding the world through computation

13:17 How Simple rules create complex behavior

16:15 Human-like AI vs. precise computation

21:08 Why AI struggles with 100% accuracy

22:39 McLean & Company’s Human-Centric AI program

23:37 Where AI works and where it falls short

27:17 The risks of AI-generated code

29:49 Why understanding matters more than implementation

33:51 Can we understand AI’s black box?

36:37 Computational irreducibility explained

39:49 Why AI needs external guardrails

42:08 The limits of AI control

43:25 AI-powered cyberattacks and defenses

45:03 Automation and the future of work

49:48 How Wolfram research uses automation

54:00 AI coding and the rise of small software tools

55:57 Choosing what to build when more is possible

59:58 Finding value as an AI startup

01:01:33 Leading innovation at Wolfram research

01:07:47 Bringing Wolfram|Alpha to life

01:10:48 Why managing scientific research is different

01:13:01 Building teams that think broadly

01:15:07 Matching people to projects and preserving their work

01:19:30 Advice for founders: Build something you want

01:21:03 Why CEOs need to understand their business

01:24:03 Hiring beyond the polished interview

01:26:15 Final thoughts

01:27:02 About Infotech


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